If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many values of c exist such that f'(c) = 0? What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x – 16x – 4 on the interval [– 1, 13], which of the following conditions is not met? O differentiability on [– 1, 13] O f(a) + f(b) continuty on [– 1, 13]

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many
values of c exist such that f'(c) = 0?
What is the value of c?
If we try to apply Rolle's Thorem to the function f(x) = 2x? – 16æ
of the following conditions is not met?
4 on the interval [– 1, 13], which
O differentiability on [– 1, 13]
O f(a) + f(b)
O continuty on (– 1, 13]
Transcribed Image Text:If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many values of c exist such that f'(c) = 0? What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 16æ of the following conditions is not met? 4 on the interval [– 1, 13], which O differentiability on [– 1, 13] O f(a) + f(b) O continuty on (– 1, 13]
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